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Independence role in the generalized Sznajd model

Author

Listed:
  • Azhari,
  • Muslim, Roni
  • Mulya, Didi Ahmad
  • Indrayani, Heni
  • Wicaksana, Cakra Adipura
  • Rizki, Akbar

Abstract

The Sznajd model is one of sociophysics’s well-known opinion dynamics models. Based on social validation, it has found application in diverse social systems and remains an intriguing subject of study, particularly in scenarios where interacting agents deviate from prevailing norms. This paper investigates the generalized Sznajd model, featuring independent agents on a complete graph and a two-dimensional square lattice. Agents in the network act independently with a probability p, signifying a change in their opinion or state without external influence. This model defines a paired agent size r, influencing a neighboring agent size n to adopt their opinion. This study incorporates analytical and numerical approaches, especially on the complete graph. Our results show that the macroscopic state of the system remains unaffected by the neighbor size n but is contingent solely on the number of paired agents r. Additionally, the time required to reach a stationary state is inversely proportional to the number of neighboring agents n. For the two-dimensional square lattice, two critical points p=pc emerge based on the configuration of agents. The results indicate that the universality class of the model on the complete graph aligns with the mean-field Ising universality class. Furthermore, the universality class of the model on the two-dimensional square lattice, featuring two distinct configurations, is identical and falls within the two-dimensional Ising universality class.

Suggested Citation

  • Azhari, & Muslim, Roni & Mulya, Didi Ahmad & Indrayani, Heni & Wicaksana, Cakra Adipura & Rizki, Akbar, 2024. "Independence role in the generalized Sznajd model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 652(C).
    • Handle: RePEc:eee:phsmap:v:652:y:2024:i:c:s037843712400551x
    DOI: 10.1016/j.physa.2024.130042
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    References listed on IDEAS

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    1. Nyczka, Piotr & Cisło, Jerzy & Sznajd-Weron, Katarzyna, 2012. "Opinion dynamics as a movement in a bistable potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 317-327.
    2. Galam, Serge & Jacobs, Frans, 2007. "The role of inflexible minorities in the breaking of democratic opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 366-376.
    3. Didi Ahmad Mulya & Roni Muslim, 2024. "Phase transition and universality of the majority-rule model on complex networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(10), pages 1-14, October.
    4. Serge Galam, 2008. "Sociophysics: A Review Of Galam Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 409-440.
    5. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    6. Azhari & Roni Muslim, 2023. "The external field effect on the opinion formation based on the majority rule and the q-voter models on the complete graph," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(07), pages 1-14, July.
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